​A number increased by 57% gives 942. Find the number.

Correct option is A

Given:

A number increased by 57% gives 942.

Concept Used:

New value = $$\text{Original value} \times \left(1 + \frac{\text{Percentage increase}}{100}\right)$$​​

Formula Used:
Let the original number be x. According to the given information:

​$$x \times \left(1 + \frac{57}{100}\right) = 942$$​​

​$$x \times 1.57 = 942$$​​

x = $$\frac{942}{1.57}$$​ = 600

The original number is 600.

Thus, the correct option is (a) 600

Alternate Method:

Let original number = 100%

157 % → 942

Original number = $$\frac{942}{157\%} \times 100\%$$ = 600​